Extracting the nuclear symmetry potential and energy from neutron-nucleus scattering data

Abstract

According to the Hugenholtz-Van Hove theorem, the symmetry energy and its density slope can be decomposed uniquely in terms of the single-nucleon potential in asymmetric nuclear matter which, at normal density, can be constrained by the nucleon optical model potential extracted from analyzing the nucleon-nucleus scattering data. To more accurately extract information on the symmetry energy and its density slope at normal density from neutron-nucleus scattering data, going beyond the well-known Lane potential, we include consistently the second order terms in isospin asymmetry in both the optical model potential and the symmetry energy decomposition. We find that the strength of the second-order symmetry potential $U_{sym,2}$ in asymmetric nuclear matter is significant compared to the first-order one U_{sym,1}$,especiallyathighnucleonmomentum.Whilethe$U_{sym,1}$atnormaldensitydecreaseswithnucleonmomentum,the$U_{sym,2}$isfoundtohavetheoppositebehavior.Moreover,wediscusseffectsofthe$U_{sym,1}$and$U_{sym,2}$ondeterminingthedensitydependenceofthesymmetryenergy,andwefindthattheavailableneutron-nucleusscatteringdatafavorasofterdensitydependenceofthesymmetryenergyatnormaldensitywithanegligiblecontributionfromthe$U_{sym,2}$.

7 pages, 4 figures, 2 tables. Discussions and 1 table added. Accepted version to appear in PLB

References in corpus (5)

• The Nuclear Equation of State and Neutron Star Masses
• Nuclear symmetry energy and its density slope at normal density extracted from global nucleon optical potentials
• Asymmetry dependence of proton correlations
• Probing the Nuclear Symmetry Energy with Heavy-Ion Reactions Induced by Neutron-Rich Nuclei
• Nuclear symmetry potential in the relativistic impulse approximation

Cited by in corpus (25)

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• Nucleon Effective Masses in Neutron-Rich Matter
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• Isovector properties of the Gogny interaction
• Nuclear Symmetry Energy Extracted from Laboratory Experiments
• Thermal properties of asymmetric nuclear matter with an improved isospin- and momentum-dependent interaction
• Probing isospin- and momentum-dependent nuclear effective interactions in neutron-rich matter
• Revisit of the neutron/proton ratio puzzle in intermediate-energy heavy-ion collisions
• Constraints on Nuclear Saturation Properties from Terrestrial Experiments and Astrophysical Observations of Neutron Stars
• Neutron-proton effective mass splitting in neutron-rich matter and its impacts on nuclear reactions
• Relationship between the symmetry energy and the single-nucleon potential in isospin-asymmetric nucleonic matter
• Nucleon Effective E-Mass in Neutron-Rich Matter from the Migdal-Luttinger Jump
• Effects of retarded electrical fields on observables sensitive to the high-density behavior of nuclear symmetry energy in heavy-ion collisions at intermediate energies
• Equation of State of Neutron-Rich Matter in $d$-Dimensions
• Probing the momentum-dependence of the symmetry potential by the free n/p ratio of preequilibrium emission
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Beam energy dependence of the relativistic retardation effects of electrical fields on the ${\pi }^{-}/{\pi }^{+}$ ratio in heavy-ion collisions
• The nuclear symmetry energy from relativistic Brueckner-Hartree-Fock model
• Proton-proton momentum correlation function as a probe of the high momentum tail of the nucleon momentum distribution
• Necessity of selfconsistent calculations for the electromagnetic field in probing the nuclear symmetry energy using pion observables in heavy-ion collisions
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Ground-state properties of light kaonic nuclei signaling symmetry energy at high densities
• Correlated structure of nuclear symmetry energy from covariant nucleon self-energy
• Regularized pseudopotential for mean-field calculations